D is the answer
because you are doing y=2(x+3)^2 - 5
First, do exponents
(x+3)(x+3) = x^2 + 6x + 9
now Multiply your answer by 2
2(x^2 +6x + 9) = 2x^2 + 12x + 18
Then, Subtract 5 from 18
2x^2 +12x + 18-5 = 2x^2 + 12x + 13
bringing you to answer D
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